I'm asuming your gearbox won't kickdown when you progressively depress the accelerator, And the oil level is ok,
and the filter in the gearbox has been replaced?
The cable should feel fairly loose if you give it a gentle tug,
but it should be lightly spring loaded and return, if it snags or doesn't return properly that will have to be checked, for frayed or snagged cable or the spring loaded lever inside the gearbox,
But sometimes it can stretch a bit as it gets older,
There are settings to correctly adjust the cable,
but what i'd do is mark of the cable adjuster first and turn it out, increase the adjustment by half a turn at a time so it pulls the cable a bit further, (don't wind it too far, if it runs out of travel it could damge the lever mechanism in the box,) try it up the road, if it don't make any difference drop it back to were it was, And start worrying about how much it's going to cost you.